mirror of
https://github.com/allaunthefox/Research-Stack.git
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bdc227459a
NS_MD.lean: - Added QRResidualWitness structure (Q16_16 fixed-point) - Added residual_bound_ok, basis_size_ok, orthogonality_ok predicates - Extended O_AMMR_Node with qr_witness field - Strengthened O_AMMR_valid: 4 conjuncts (admission + residual + basis + ortho) - lake build: 3300 jobs, 0 errors hash_benchmark.py (240 data points): - Hilbert vs Morton vs xxHash - 5 grid sizes (16^3 to 256^3), 4 trace sizes, 4 patterns Key findings: Morton: 86.5% cache hit rate, 1.08µs p50, 0.512 locality xxHash: 30.3% cache hit rate, 0.96µs p50, 0.342 locality Hilbert: 27.6% cache hit rate, 2.29µs p50, 0.833 locality Morton wins overall for spatial hash grids.
241 lines
15 KiB
CSV
241 lines
15 KiB
CSV
grid_size,trace_size,trace_pattern,hash_function,cache_hit_rate,p50_latency_us,p99_latency_us,memory_bandwidth_mbs,locality_preservation
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16,1000,sequential,hilbert,0.0,1.82,6.57,6.17,0.716469
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16,1000,sequential,morton,0.936,0.819,2.19,13.78,0.0
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16,1000,sequential,xxhash,0.112,0.97,2.9,11.53,0.008407
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16,1000,random,hilbert,0.112,1.9,4.92,6.03,0.71932
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16,1000,random,morton,0.936,0.86,1.61,13.25,0.147023
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16,1000,random,xxhash,0.197,0.75,2.84,12.77,0.150668
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16,1000,spatial_locality,hilbert,0.147,1.87,5.38,6.2,0.741935
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16,1000,spatial_locality,morton,0.936,0.85,3.54,11.73,0.167155
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16,1000,spatial_locality,xxhash,0.221,0.95,2.92,11.67,0.172043
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16,1000,temporal_locality,hilbert,0.72,1.03,2.34,10.81,0.955639
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16,1000,temporal_locality,morton,0.937,0.87,2.12,12.26,0.902658
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16,1000,temporal_locality,xxhash,0.728,0.47,1.54,20.39,0.902658
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16,10000,sequential,hilbert,0.5904,1.29,2.85,8.09,0.745367
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16,10000,sequential,morton,0.9936,0.59,1.67,18.06,0.253674
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16,10000,sequential,xxhash,0.7385,0.979,2.02,11.81,0.115335
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16,10000,random,hilbert,0.6255,1.77,3.25,6.71,0.762647
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16,10000,random,morton,0.9936,0.61,1.02,18.64,0.316765
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16,10000,random,xxhash,0.7517,1.02,2.17,11.28,0.171765
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16,10000,spatial_locality,hilbert,0.6451,1.3,2.37,8.66,0.781142
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16,10000,spatial_locality,morton,0.9936,0.62,1.06,18.56,0.32699
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16,10000,spatial_locality,xxhash,0.7605,0.97,2.01,11.93,0.183391
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16,10000,temporal_locality,hilbert,0.7878,1.36,2.96,8.09,0.893909
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16,10000,temporal_locality,morton,0.9936,1.1,1.88,9.77,0.700386
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16,10000,temporal_locality,xxhash,0.8317,0.92,2.09,12.22,0.625443
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16,100000,sequential,hilbert,0.95904,1.31,2.54,8.28,0.853893
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16,100000,sequential,morton,0.99936,0.62,1.45,15.73,0.456905
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16,100000,sequential,xxhash,0.97385,0.85,2.07,11.99,0.15636
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16,100000,random,hilbert,0.95904,1.88,3.419,6.22,0.824273
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16,100000,random,morton,0.99936,0.69,1.54,14.91,0.461757
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16,100000,random,xxhash,0.97385,0.74,1.53,14.79,0.179836
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16,100000,spatial_locality,hilbert,0.95904,1.63,3.84,6.46,0.837229
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16,100000,spatial_locality,morton,0.99936,0.68,1.67,14.77,0.507937
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16,100000,spatial_locality,xxhash,0.97385,0.96,2.11,11.61,0.223088
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16,100000,temporal_locality,hilbert,0.95904,1.75,3.339,6.71,0.855542
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16,100000,temporal_locality,morton,0.99936,0.99,1.97,10.54,0.542715
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16,100000,temporal_locality,xxhash,0.97385,1.17,2.53,9.03,0.298132
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16,1000000,sequential,hilbert,0.995904,1.86,3.8,6.0,0.879824
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16,1000000,sequential,morton,0.999936,0.79,1.78,13.33,0.579542
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16,1000000,sequential,xxhash,0.997385,1.06,2.26,10.41,0.187637
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16,1000000,random,hilbert,0.995904,1.85,3.76,6.16,0.896838
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16,1000000,random,morton,0.999936,0.76,1.81,13.37,0.614369
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16,1000000,random,xxhash,0.997385,0.82,2.05,12.28,0.200798
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16,1000000,spatial_locality,hilbert,0.995904,1.78,3.539,6.54,0.885748
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16,1000000,spatial_locality,morton,0.999936,0.83,1.819,13.06,0.63457
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16,1000000,spatial_locality,xxhash,0.997385,0.82,2.09,12.3,0.215548
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16,1000000,temporal_locality,hilbert,0.995904,1.81,3.69,6.35,0.886049
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16,1000000,temporal_locality,morton,0.999936,0.97,2.01,11.69,0.610102
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16,1000000,temporal_locality,xxhash,0.997385,0.88,2.24,11.78,0.202341
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32,1000,sequential,hilbert,0.0,1.44,3.48,7.69,0.646178
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32,1000,sequential,morton,0.936,0.82,1.89,13.76,0.0
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32,1000,sequential,xxhash,0.016,0.7,2.21,15.8,0.001033
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32,1000,random,hilbert,0.013,1.54,3.13,7.55,0.700935
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32,1000,random,morton,0.575,0.93,2.83,11.36,0.130841
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32,1000,random,xxhash,0.022,0.69,2.14,15.98,0.130841
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32,1000,spatial_locality,hilbert,0.048,2.12,3.88,5.56,0.744526
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32,1000,spatial_locality,morton,0.633,1.06,3.58,10.2,0.175182
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32,1000,spatial_locality,xxhash,0.059,1.09,2.489,10.5,0.175182
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32,1000,temporal_locality,hilbert,0.711,1.259,2.81,9.05,0.99699
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32,1000,temporal_locality,morton,0.778,0.72,1.839,15.16,0.99378
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32,1000,temporal_locality,xxhash,0.713,0.74,2.42,14.56,0.99378
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32,10000,sequential,hilbert,0.0,1.53,2.47,7.5,0.697797
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32,10000,sequential,morton,0.9744,0.84,1.669,13.31,0.172687
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32,10000,sequential,xxhash,0.0961,1.02,2.22,10.83,0.001762
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32,10000,random,hilbert,0.0974,1.74,3.8,6.01,0.743056
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32,10000,random,morton,0.9488,1.04,2.75,9.33,0.326389
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32,10000,random,xxhash,0.1899,0.89,2.25,11.5,0.155093
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32,10000,spatial_locality,hilbert,0.1276,2.18,4.29,5.42,0.757447
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32,10000,spatial_locality,morton,0.9488,1.12,2.46,10.43,0.319149
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32,10000,spatial_locality,xxhash,0.2114,1.15,2.39,9.78,0.180851
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32,10000,temporal_locality,hilbert,0.7156,1.48,2.54,7.87,0.977453
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32,10000,temporal_locality,morton,0.949,0.84,2.0,13.62,0.936203
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32,10000,temporal_locality,xxhash,0.7293,0.98,2.39,10.82,0.922111
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32,100000,sequential,hilbert,0.0,2.19,4.46,5.15,0.804455
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32,100000,sequential,morton,0.99488,0.86,1.73,12.93,0.423267
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32,100000,sequential,xxhash,0.12266,1.15,2.29,9.74,0.091584
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32,100000,random,hilbert,0.12061,2.19,4.11,5.41,0.838554
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32,100000,random,morton,0.99488,1.1,2.52,9.75,0.460241
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32,100000,random,xxhash,0.23362,1.0,2.23,10.51,0.13494
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32,100000,spatial_locality,hilbert,0.15836,1.86,4.01,5.76,0.803738
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32,100000,spatial_locality,morton,0.99488,0.84,2.0,12.94,0.441589
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32,100000,spatial_locality,xxhash,0.26775,0.94,2.17,11.11,0.168224
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32,100000,temporal_locality,hilbert,0.73543,2.32,4.15,5.02,0.915879
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32,100000,temporal_locality,morton,0.99488,0.92,2.15,11.35,0.791115
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32,100000,temporal_locality,xxhash,0.76812,0.81,1.67,13.64,0.672968
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32,1000000,sequential,hilbert,0.0,2.06,4.1,5.64,0.868217
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32,1000000,sequential,morton,0.999488,0.94,2.21,11.38,0.563307
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32,1000000,sequential,xxhash,0.125165,0.94,2.34,10.56,0.126615
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32,1000000,random,hilbert,0.124594,2.15,4.18,5.45,0.866972
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32,1000000,random,morton,0.999488,1.13,2.67,9.49,0.594037
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32,1000000,random,xxhash,0.24068,1.08,2.29,10.19,0.169725
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32,1000000,spatial_locality,hilbert,0.160435,2.1,4.11,5.55,0.896806
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32,1000000,spatial_locality,morton,0.999488,1.01,2.29,10.87,0.601966
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32,1000000,spatial_locality,xxhash,0.272339,1.07,2.37,10.13,0.159705
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32,1000000,temporal_locality,hilbert,0.31645,2.26,4.32,5.15,0.861111
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32,1000000,temporal_locality,morton,0.999488,1.03,2.52,10.0,0.645299
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32,1000000,temporal_locality,xxhash,0.417041,1.229,2.68,8.87,0.271368
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64,1000,sequential,hilbert,0.0,2.24,6.719,4.87,0.645312
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64,1000,sequential,morton,0.936,0.869,2.17,12.78,0.0
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64,1000,sequential,xxhash,0.0,1.13,3.14,9.72,0.000521
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64,1000,random,hilbert,0.0,1.82,3.69,5.99,0.666667
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64,1000,random,morton,0.111,0.97,2.84,11.47,0.0
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64,1000,random,xxhash,0.001,0.71,2.63,14.14,0.0
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64,1000,spatial_locality,hilbert,0.025,1.74,3.49,6.56,0.760479
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64,1000,spatial_locality,morton,0.314,1.33,5.089,8.14,0.155689
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64,1000,spatial_locality,xxhash,0.028,0.97,5.65,10.27,0.155689
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64,1000,temporal_locality,hilbert,0.709,2.83,7.79,3.75,1.0
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64,1000,temporal_locality,morton,0.718,0.96,3.209,11.22,0.999394
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64,1000,temporal_locality,xxhash,0.709,0.71,2.12,13.81,0.999394
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64,10000,sequential,hilbert,0.0,2.33,4.5,4.88,0.728457
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64,10000,sequential,morton,0.936,0.95,1.92,11.9,0.196393
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64,10000,sequential,xxhash,0.0136,1.1,2.24,10.38,0.0
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64,10000,random,hilbert,0.013,2.199,5.189,4.77,0.79661
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64,10000,random,morton,0.6257,1.64,3.22,6.75,0.322034
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64,10000,random,xxhash,0.0251,0.76,1.49,14.81,0.220339
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64,10000,spatial_locality,hilbert,0.0366,2.66,4.92,4.13,0.80531
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64,10000,spatial_locality,morton,0.6721,1.1,3.03,9.37,0.274336
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64,10000,spatial_locality,xxhash,0.0501,0.84,2.06,12.02,0.150442
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64,10000,temporal_locality,hilbert,0.7042,2.46,4.459,4.63,0.996948
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64,10000,temporal_locality,morton,0.7894,0.9,2.14,12.41,0.989734
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64,10000,temporal_locality,xxhash,0.7065,0.69,1.53,16.0,0.989456
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64,100000,sequential,hilbert,0.0,2.45,4.47,4.57,0.794643
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64,100000,sequential,morton,0.97952,1.07,2.43,10.49,0.348214
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64,100000,sequential,xxhash,0.01483,1.15,2.36,9.74,0.0
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64,100000,random,hilbert,0.01491,2.59,5.039,4.37,0.754717
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64,100000,random,morton,0.95904,1.12,2.789,8.98,0.528302
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64,100000,random,xxhash,0.03015,0.89,2.17,11.2,0.245283
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64,100000,spatial_locality,hilbert,0.04087,2.38,4.65,4.76,0.840909
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64,100000,spatial_locality,morton,0.95904,1.33,2.74,8.82,0.454545
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64,100000,spatial_locality,xxhash,0.05548,1.14,2.29,9.89,0.068182
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64,100000,temporal_locality,hilbert,0.70388,2.27,4.59,4.92,0.980226
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64,100000,temporal_locality,morton,0.95908,1.28,2.86,8.76,0.94774
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64,100000,temporal_locality,xxhash,0.70837,1.03,2.26,10.76,0.927966
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64,1000000,sequential,hilbert,0.0,2.37,4.71,4.83,0.87037
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64,1000000,sequential,morton,0.995904,0.84,2.37,11.73,0.518519
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64,1000000,sequential,xxhash,0.015167,0.85,2.21,11.45,0.148148
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64,1000000,random,hilbert,0.015705,2.51,4.68,4.69,0.87931
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64,1000000,random,morton,0.995904,1.3,3.09,8.35,0.637931
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64,1000000,random,xxhash,0.030879,0.94,2.31,10.46,0.155172
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64,1000000,spatial_locality,hilbert,0.039309,2.39,4.54,4.91,0.865385
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64,1000000,spatial_locality,morton,0.995904,1.15,2.89,9.19,0.634615
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64,1000000,spatial_locality,xxhash,0.054487,0.95,2.369,10.55,0.134615
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64,1000000,temporal_locality,hilbert,0.220719,2.62,4.92,4.42,0.948276
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64,1000000,temporal_locality,morton,0.995904,1.54,3.499,7.2,0.853448
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64,1000000,temporal_locality,xxhash,0.234006,0.979,2.14,10.9,0.646552
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128,1000,sequential,hilbert,0.0,2.45,4.84,4.71,0.65397
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128,1000,sequential,morton,0.936,0.57,1.12,19.84,0.0
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128,1000,sequential,xxhash,0.0,0.68,1.71,16.06,0.0
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128,1000,random,hilbert,0.0,2.04,3.74,5.72,1.0
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128,1000,random,morton,0.106,0.98,2.7,11.49,1.0
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128,1000,random,xxhash,0.001,0.69,2.07,15.98,1.0
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128,1000,spatial_locality,hilbert,0.018,1.96,3.939,5.47,0.725664
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128,1000,spatial_locality,morton,0.276,1.29,3.66,8.78,0.159292
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128,1000,spatial_locality,xxhash,0.02,0.69,2.04,16.08,0.159292
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128,1000,temporal_locality,hilbert,0.709,1.69,2.87,6.79,1.0
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128,1000,temporal_locality,morton,0.721,0.73,1.739,14.71,1.0
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128,1000,temporal_locality,xxhash,0.709,0.5,1.28,20.96,1.0
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128,10000,sequential,hilbert,0.0,1.88,2.9,6.19,0.668831
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128,10000,sequential,morton,0.9744,0.86,1.61,13.47,0.254545
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128,10000,sequential,xxhash,0.0014,1.22,2.23,9.27,0.0
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128,10000,random,hilbert,0.0011,2.13,4.28,4.92,0.714286
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128,10000,random,morton,0.6233,1.01,2.17,11.48,0.214286
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128,10000,random,xxhash,0.0032,0.75,1.549,14.77,0.071429
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128,10000,spatial_locality,hilbert,0.0201,1.99,4.59,5.15,0.693878
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128,10000,spatial_locality,morton,0.651,1.01,2.19,11.31,0.244898
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128,10000,spatial_locality,xxhash,0.0214,0.99,2.219,10.78,0.122449
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128,10000,temporal_locality,hilbert,0.7032,2.67,4.18,4.39,1.0
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128,10000,temporal_locality,morton,0.7872,1.49,3.4,7.39,1.0
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128,10000,temporal_locality,xxhash,0.7036,0.62,1.32,18.34,0.999439
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128,100000,sequential,hilbert,0.0,2.66,5.0,4.33,0.756303
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128,100000,sequential,morton,0.98976,0.67,1.63,15.25,0.394958
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128,100000,sequential,xxhash,0.00198,0.8,1.55,13.78,0.0
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128,100000,random,hilbert,0.00187,2.62,4.41,4.58,1.0
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128,100000,random,morton,0.95904,1.439,3.13,7.7,0.571429
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128,100000,random,xxhash,0.00373,1.14,2.21,9.95,0.142857
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128,100000,spatial_locality,hilbert,0.02221,2.74,4.63,4.17,0.777778
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128,100000,spatial_locality,morton,0.95904,1.079,2.44,10.15,0.222222
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128,100000,spatial_locality,xxhash,0.02414,0.91,2.08,11.47,0.111111
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128,100000,temporal_locality,hilbert,0.70039,2.71,4.67,4.43,0.995434
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128,100000,temporal_locality,morton,0.95905,1.35,2.87,8.52,0.99239
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128,100000,temporal_locality,xxhash,0.70087,0.88,2.2,11.93,0.990868
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128,1000000,sequential,hilbert,0.0,2.5,4.61,4.8,0.875
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128,1000000,sequential,morton,0.995904,1.02,2.56,10.46,0.5
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128,1000000,sequential,xxhash,0.001913,0.97,2.24,10.71,0.0
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128,1000000,random,hilbert,0.00197,2.95,5.77,3.76,0.909091
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128,1000000,random,morton,0.995904,1.469,3.339,7.43,0.545455
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128,1000000,random,xxhash,0.003894,1.1,2.36,9.76,0.090909
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128,1000000,spatial_locality,hilbert,0.021323,2.859,5.81,3.77,0.8
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128,1000000,spatial_locality,morton,0.995904,1.55,3.55,6.93,0.4
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128,1000000,spatial_locality,xxhash,0.023256,1.3,2.73,8.3,0.2
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128,1000000,temporal_locality,hilbert,0.208938,3.12,5.87,3.6,1.0
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128,1000000,temporal_locality,morton,0.995904,1.61,3.73,6.87,0.985714
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128,1000000,temporal_locality,xxhash,0.210727,1.1,2.26,9.96,0.957143
|
|
256,1000,sequential,hilbert,0.0,2.66,5.74,4.22,0.701149
|
|
256,1000,sequential,morton,0.936,0.58,1.35,16.8,0.0
|
|
256,1000,sequential,xxhash,0.0,1.59,4.31,7.23,0.0
|
|
256,1000,random,hilbert,0.0,3.26,7.559,3.33,1.0
|
|
256,1000,random,morton,0.102,2.41,5.379,4.72,1.0
|
|
256,1000,random,xxhash,0.0,1.03,2.99,10.56,1.0
|
|
256,1000,spatial_locality,hilbert,0.018,2.959,5.999,3.8,0.697917
|
|
256,1000,spatial_locality,morton,0.236,1.33,3.61,8.54,0.1875
|
|
256,1000,spatial_locality,xxhash,0.018,0.69,2.03,15.67,0.1875
|
|
256,1000,temporal_locality,hilbert,0.709,1.98,3.839,5.87,1.0
|
|
256,1000,temporal_locality,morton,0.718,1.31,5.36,8.3,1.0
|
|
256,1000,temporal_locality,xxhash,0.709,0.72,2.23,14.47,1.0
|
|
256,10000,sequential,hilbert,0.0,2.93,6.219,3.65,0.666255
|
|
256,10000,sequential,morton,0.9808,1.02,1.83,11.7,0.242274
|
|
256,10000,sequential,xxhash,0.0003,0.97,2.15,10.96,0.0
|
|
256,10000,random,hilbert,0.0,3.34,6.51,3.46,0.0
|
|
256,10000,random,morton,0.6236,1.43,3.21,7.79,0.0
|
|
256,10000,random,xxhash,0.0003,0.96,1.93,11.07,0.0
|
|
256,10000,spatial_locality,hilbert,0.0159,3.21,7.46,3.33,0.815789
|
|
256,10000,spatial_locality,morton,0.6412,1.46,3.75,7.39,0.315789
|
|
256,10000,spatial_locality,xxhash,0.0161,1.22,2.36,9.71,0.131579
|
|
256,10000,temporal_locality,hilbert,0.7031,3.09,5.84,3.62,1.0
|
|
256,10000,temporal_locality,morton,0.7884,1.54,3.65,7.08,1.0
|
|
256,10000,temporal_locality,xxhash,0.7031,0.72,1.61,14.81,1.0
|
|
256,100000,sequential,hilbert,0.0,2.94,5.81,3.82,0.795699
|
|
256,100000,sequential,morton,0.99488,1.17,2.15,10.02,0.419355
|
|
256,100000,sequential,xxhash,0.00024,1.18,2.34,9.45,0.0
|
|
256,100000,random,hilbert,0.0002,3.42,6.42,3.31,1.0
|
|
256,100000,random,morton,0.95904,1.45,3.16,7.8,1.0
|
|
256,100000,random,xxhash,0.00044,1.23,2.44,8.98,1.0
|
|
256,100000,spatial_locality,hilbert,0.01778,2.959,5.99,3.74,0.8
|
|
256,100000,spatial_locality,morton,0.95904,1.16,3.06,8.68,0.0
|
|
256,100000,spatial_locality,xxhash,0.01798,1.38,2.75,7.96,0.0
|
|
256,100000,temporal_locality,hilbert,0.69993,3.65,7.26,2.95,1.0
|
|
256,100000,temporal_locality,morton,0.95906,2.17,4.71,5.31,1.0
|
|
256,100000,temporal_locality,xxhash,0.7,1.43,3.34,6.99,1.0
|
|
256,1000000,sequential,hilbert,0.0,2.82,5.22,4.12,0.875
|
|
256,1000000,sequential,morton,0.998976,0.69,1.96,13.78,0.625
|
|
256,1000000,sequential,xxhash,0.000235,1.23,2.999,8.62,0.0
|
|
256,1000000,random,hilbert,0.000241,3.41,6.57,3.23,1.0
|
|
256,1000000,random,morton,0.995904,1.51,3.34,7.32,1.0
|
|
256,1000000,random,xxhash,0.000453,1.27,2.72,8.53,1.0
|
|
256,1000000,spatial_locality,hilbert,0.017244,3.05,5.38,3.76,1.0
|
|
256,1000000,spatial_locality,morton,0.995904,1.36,2.95,8.15,1.0
|
|
256,1000000,spatial_locality,xxhash,0.017474,1.2,2.249,9.51,1.0
|
|
256,1000000,temporal_locality,hilbert,0.207492,3.52,7.01,3.15,1.0
|
|
256,1000000,temporal_locality,morton,0.995904,1.73,3.56,6.44,0.985294
|
|
256,1000000,temporal_locality,xxhash,0.20766,1.28,2.58,8.67,0.985294
|